Variations on a theme of Apéry
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909883666792448 |
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| author | Cohen, Henri Zudilin, Wadim |
| author_facet | Cohen, Henri Zudilin, Wadim |
| contents | Apéry's remarkable discovery of rapidly converging continued fractions with small coefficients for $ζ(2)$ and $ζ(3)$ has led to a flurry of important activity in an incredible variety of different directions. Our purpose is to show that modifications of Apéry's continued fractions can give interesting results including new rapidly convergent continued fractions for certain interesting constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10090 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variations on a theme of Apéry Cohen, Henri Zudilin, Wadim Number Theory Classical Analysis and ODEs Combinatorics 11J70, 11F11, 30B70, 33F10, 40A15 Apéry's remarkable discovery of rapidly converging continued fractions with small coefficients for $ζ(2)$ and $ζ(3)$ has led to a flurry of important activity in an incredible variety of different directions. Our purpose is to show that modifications of Apéry's continued fractions can give interesting results including new rapidly convergent continued fractions for certain interesting constants. |
| title | Variations on a theme of Apéry |
| topic | Number Theory Classical Analysis and ODEs Combinatorics 11J70, 11F11, 30B70, 33F10, 40A15 |
| url | https://arxiv.org/abs/2501.10090 |